Both "how about" and "what about" can be used like 呢. "你呢?" = "How about you?"/"What about you?"
"How about" can also mean "let's..." or "why don't we..." It's similar to 不如. "How about watching TV?" = "不如看电视." Usually, we do not use "what about" this way, although it does sometimes happen in casual speech.
Examples:
A: "I like drawing, reading, and riding my bike."
B: "What about watching TV?"
A: "Oh, yes, I like watching TV, too."
[In this example, you could use either "what about" or "how about." Person B is asking, "And (do you also like) watching TV?"]
A: "What should we do tonight?"
B: "I don't know. How about watching a movie?"
[We use "how about" here, because it is a suggestion: "Let's watch a movie."/"Why don't we watch a movie?"]